Atkin-Lehner |
2+ 5- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
45650o |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-100430000 = -1 · 24 · 54 · 112 · 83 |
Discriminant |
Eigenvalues |
2+ 3 5- 0 11+ 0 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-367,-2659] |
[a1,a2,a3,a4,a6] |
Generators |
[606:-149:27] |
Generators of the group modulo torsion |
j |
-8760065625/160688 |
j-invariant |
L |
8.302817807149 |
L(r)(E,1)/r! |
Ω |
0.54472218082753 |
Real period |
R |
3.8105744998881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45650t1 |
Quadratic twists by: 5 |